What two numbers add up to 4997?

There are infinite combinations of two numbers that add up to 4997. Here are some examples using negative numbers:

-1 + 4998 = 4997
-2 + 4999 = 4997
-3 + 5000 = 4997
...

Here are some examples using two fractions that will add up to 4997:

4997/2 + 4997/2 = 4997
9994/3 + 4997/3 = 4997
14991/4 + 4997/4 = 4997
...

And here are some examples using two decimal numbers that will add up to 4997:

1.25 + 4995.75 = 4997
2.50 + 4994.5 = 4997
3.75 + 4993.25 = 4997
...

As you can see from the lists above, it can go on forever. However, when answering "What two numbers add up to 4997?", it may be more interesting to set some criteria to limit the result. We will set the follow criteria:

1) Only positive whole numbers can add up to 4997. (0 is not a positive or negative number and should not be included.)

2) Since a+b=29 is the same as b+a=29, we should only list it once.

Now, the answer to "What two numbers add up to 4997?" has 2498 answers:

1 + 4996 = 4997
2 + 4995 = 4997
3 + 4994 = 4997
.
.
2496 + 2501 = 4997
2497 + 2500 = 4997
2498 + 2499 = 4997

We have truncated the list above due to space, but you may be interested to know that we calculated the number of answers by dividing 4997 by 2 and then rounded down to the nearest whole number if necessary.

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